Simon Willerton
Bibliography
You know that
I write slowly. This is chiefly because I am never satisfied until
I have said as much as possible in a few words, and writing briefly
takes far more time than writing at length.
Karl Friedrich Gauss
Karl Friedrich Gauss
Preprints
- Tight spans, Isbell completions and semi-tropical modules
arxiv:1302.4370 -
Spread: a measure of the size of metric spaces
arxiv:1209.2300 -
Heuristic and computer calculations for the magnitude of metric spaces
arxiv:0910.5500
Research Publications
-
On the magnitude of spheres, surfaces and other homogeneous spaces
Geometriae Dedicata (2013). arxiv:1005.4041 -
On the asymptotic magnitude of subsets of Euclidean space (with Tom Leinster)
Geometriae Dedicata (2012). arxiv:0908.1582 - The Mukai pairing, I: a categorical approach
(with A.Caldararu),
New York Journal of Mathematics 16 (2010) 61-98. arXiv:0707.2052 - On the Rozansky-Witten weight systems
(with J.Roberts),
Algebraic & Geometric Topology 10 (2010) 1455-1519. math.DG/0602653. See also Justin Roberts' talk. - A diagrammatic approach to Hopf monads
[For less wide typesetting style see arXiv version.]
Arabian Journal of Science and Engineering C - Theme Issue "Interactions of algebraic and coalgebraic structures (theory and applications)" December 2008; Vol. 33, Number 2C math/0807.0658 - The twisted Drinfeld double of a finite group via gerbes and finite groupoids Algebraic & Geometric Topology 8 (2008) 1419-1457 math.QA/0503266
-
Gerbes and Homotopy Quantum Field Theories (with U.Bunke and P.Turner)
Algebr. Geom. Topol. 4 (2004) 407-437 math/0201116 - Homotopy quantum field
theories and related ideas (with M.Brightwell and P.Turner)
Int. J. Modern Phys. A 18 Supplement (2003) 115-122. -
An almost-integral universal Vassiliev invariant of knots
Algebraic and Geometric Topology 2 (2002) paper no. 29, 649-664 math/0105190 -
On the first two Vassiliev invariants,
Experimental Mathematics (2002). - Free groups and finite type invariants
of pure braids (with J.Mostovoy)
Math. Proc. Camb. Phil. Soc. 132 (2001) 117-130. -
The Kontsevich integral and algebraic structures on the space of diagrams,
Knots in Hellas '98, Series on Knots and Everything vol 24, World Scientific, 2000, 530-546. - Vassiliev invariants
as polynomials,
Knot Theory, Banach Centre Publications 42 (1998) 457-463. - A combinatorial half-integration from weight system to
Vassiliev knot invariant,
J. Knot Theory Ramifications, 7 no. 4 (1998) 519-526. - Vassiliev invariants and the Hopf algebra of chord diagrams,
Math. Proc. Camb. Phil. Soc., 119 (1996) 55-65.
Popularizations
- A topological tie-in,
Nature 368 103-104, 10 March 1994.
Unpublished
- On the Vassiliev invariants for knots and for pure braids,
(official abstract) Edinburgh University PhD Thesis, July 1997. This contains material from the above papers together with ideas on the relationship between Vassiliev invariants for pure braids and de Rham homotopy theory. - Vassiliev invariants for knots,
Essay for Part III of the Cambridge Mathematical Tripos, May 1993. A survey of Bar-Natan's paper On the Vassiliev knot invariants, which contained some additional work of my own.
Talks
- Magnitude and other measures of metric spaces, July 2012.
- Magnitude of Metric Spaces II, September 2010. A prequel to this talk, Magnitude of Metric Spaces I, was given by Tom Leinster.
- Two 2-traces August 2008. There are two videos of this talk on YouTube: